This essay explores the impact of Søren Kierkegaard upon the important Italian Thomist, Cornelio Fabro. Fabro rejected the caricature of Kierkegaard as an "irrationalist" and placed him firmly in the Christian tradition. By highlighting the influence of Kierkegaard upon a Thomist like Fabro, the relevance of Fabro's own thought is opened up for more contemporary debates in theology regarding th...

We show that the Euclidean Wasserstein distance is contractive for inelastic homogeneous Boltzmann kinetic equations in the Maxwellian approximation and its associated Kac-like caricature. This property is as a generalization of the Tanaka theorem to inelastic interactions. Even in the elastic classical Boltzmann equation, we give a simpler proof of the Tanaka theorem than the ones in [25, 27]....

We compare Green’s function g on an infinite volume, hyperbolic Riemann surface X with an analogous discrete function gdisc on a graphical caricature Γ of X. The main result, modulo technical hypotheses, is that g and gdisc differ by at most an additive constant C which depends only on the Euler characteristic of X. In particular, the estimate of g by gdisc remains uniform as the geometry (i.e....

Creating sculptural portraits is one of developing trends of 3D graphics. The development of multimedia and means of communication opened up new fields of their use in video conferencing, robotics, design, advertising actions. A 3D portrait can be created with the view of both achieving photographic resemblance and creating a caricature. However, achieving the desired resemblance degree require...

In a model proposed for cell pattern formation by Nagorcka et al. (J. Theor. Biol. 1987) linear analysis revealed the possibility of an initially spatially uniform cell density going unstable to perturbations of two distinct spatial modes. Here we examine a simple one-dimensional caricature of their model which exhibits similar linear behaviour and present a nonlinear analysis which shows the p...

This paper proposed a novel approach to generate face caricatures automatically from single portrait image. We decompose the process of 3D generation into two independent subtasks: appearance transfer texture and geometry mesh. For transfer, we design GAN-based network named CariFaceGAN learn style mapping caricature, in which facial features are leveraged preserve identity consistency. first t...